1. EXPONENTIAL FUNCTIONS By Jordan Moncada

2. Exponential Function  Function in the form of a x  “a” = a positive real number

3. The Parent Graph  Characteristics of the Parent Graph 1. y-intercept=1 (0,1) 2. Horizontal Asymptote=y=0 3. increasing left to right

4. y=a x +c  Parent graph moves up “c” units  Example: y=2 x +2  Parent graph moves up 2 units

5. y=a x -c  Parent graph moves down “c” units  Example: y=4 x -3  Parent graph moves down 3 units, graph is closer to y-axis

6. y=a x+c  Parent graph moves to the left “c” units  Example: y=1/2 x+1  Parent graph moves to the left 1, graph is closer to the x-axis

7. y=a x-c  Parent graph moves to the right “c” units  Example: y=2 x-4 -2 Moves to the right 4 Units, moves down 2 units

8. y=a -x  Parent graph flips over the y-axis (left-right)  Example: 5 -x+5 Graph is closer to y-axis, flips over the x-axis, moves to the left 5 units

9. y=-a x  Parent graph flips over the x-axis (up and down)  Example: y=-2 x -1 Graph flips over the x-axis, moves to the right 1 unit